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adoni [48]
2 years ago
15

Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What

is the probability (rounded to the nearest ten thousandth) that both cards are diamonds?
Mathematics
1 answer:
AVprozaik [17]2 years ago
4 0

Answer:

The correct answer is 0.05882.

Step-by-step explanation:

A deck of cards have 52 cards, 13 cards of each suit.

We are drawing two cards without replacement.

We need to find the probability of getting a diamond as the first card.

Favorable outcomes are 13 and total number of outcomes are 52.

Thus this probability is \frac{13}{52} = \frac{1}{4}.

Now for the next draw we again want to pick a diamond card.

Favorable outcomes are 12 and total number of leftover cards are 51.

Thus this probability is \frac{12}{51}.

Now the probability that both cards are diamonds is \frac{1}{4} × \frac{12}{51} = \frac{3}{51} = \frac{1}{17} = 0.0588235 ≈ 0.05882

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The tower is 650 meters high. Suppose a building is erected such that the base of the building is on the same plane as the base
madam [21]

Answer:

173.57\ m

Step-by-step explanation:

Let

h -----> the height of the building

x -----> the horizontal distance between the building and the tower

we know that

tan(80.38\°)=(650-h)/x

solve for x

x=(650-h)/tan(80.38\°) -----> equation A

tan(65.05\°)=h/x

solve for x

x=h/tan(65.05\°) ------> equation B

equate equation A and equation B and solve for h

h/tan(65.05\°)=(650-h)/tan(80.38\°)

tan(80.38\°)h=(650-h)tan(65.05\°)

tan(80.38\°)h=(650)tan(65.05\°)-(h)tan(65.05\°)

h[tan(80.38\°)+tan(65.05\°)]=(650)tan(65.05\°)

h=(650)tan(65.05\°)/[tan(80.38\°)+tan(65.05\°)]  

h=173.57\ m

3 0
3 years ago
Please help me
Dennis_Churaev [7]

Answer:

C. y-7=2(x-6)

Step-by-step explanation:

y2-y1/x2-x1

7-(-9)/6-(-2)

7+9/6+2

16/8

m=2

y-y1=m(x-x1)

y-7=2(x-6)

3 0
2 years ago
What is the measure of angle z and why?
Svetach [21]
124° Is your answer.

The triangle Is an isosceles triangle which means the two bases will be the same angle. 180° is this sum of all angles in a triangle. If 62 is the right base angle then 62 must be the left base angle since is an isosceles triangle. Add 62 and 62 together then subtract from 180. That would give you 54° as the third angle angle at top. Since you are looking for a Z, we now know that z and 54° are symmetry and equal 180 when added together. We then subtract 54 from 180 to get the angle of z.
4 0
3 years ago
Please help! will give brainliest
Zinaida [17]

Answer:

x=7

Step-by-step explanation:

Since these angles are complementary, they will add up to 90 degrees, so you can set up the equation like so:

8x+5+3x+8=90

First, combine like terms:

(8x+3x)+(5+8)=90

11x+13=90

Then, subtract 13 from both sides:

11x+13(-13)=90(-13)

11x=77

Then divide both sides by 11:

11x(/11)=77(/11)

x=7

7 is your answer

hope this helps!

3 0
2 years ago
Read 2 more answers
A palindromic number is a number that reads the same forwards as it does backwards (example: 282 or 51715). How many 5-digit pal
Anuta_ua [19.1K]

Palindromes are numbers whose reverse is the same as the original number

There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

<h3>How to determine the count of 4-digit palindromes</h3>

The digit of the palindromic number is 5.

This means that:

  • The first digit of the palindrome can be any of 1 to 7 (because 7 is half of 14)
  • The second digit can be any of 0 - 6 (i.e. 7 digits)
  • The third digit can be any of 9 digits
  • The fourth digit must be the second digit (i.e. 1 digit)
  • The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

Total = 7 + 7 + 9 +  1 +1

Total = 25

Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

Read more about palindromes at:

brainly.com/question/26527765

8 0
2 years ago
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